The problem is with the word "our".
If it's just private companies, the biases will represent a small minority of people that tend to be quite similar. Plus, they might be guided by profit motives or by self-censorship ("I don't mind, but I'm scared they'll boycott the product if I don't put this bias").
I have no idea how to make it happen, but the talk about biases, safeguards, etc should be made between many different people and not just within a private company.
Your leap to "thou shalt not search this" is missing the possible middle ground